14. A company, which prepares its financial statements in accordance with IFRS issues £5,000,000 face value ten year bonds on January 1, 2010 when interest rates are 5.50%. The bonds carry a coupon of 6.50%, with interest paid annually on December 31. The carrying value of the bonds as of December 31, 2011 will be closest to:
A. £4,695,562.
B. £5,301,000.
C. £5,316,000.
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Ans: C.
The bond proceeds are determined by taking the present value of the coupon stream and terminal payment at the interest rate of 5.5%:
Proceeds
= 5,000,000 x 6.5% x PVA(10y, 5.5%) + 5,000,000 x PV(10y, 5.5%)
= 325,000 x PVA(10y, 5.5%) + 5,000,000 x PV(10y, 5.5%)
= 5,376,881
Where PVA(10y, 5.5%) is the present value interest factor for an annuity of $1 for 10years at 5.5%, and PV(10y, 5.5%) is the present value interest factor for $1 to be received in 10years when rates are 5.5%
Using the effective annual interest (EAI) rate method which is required under IFRS.
Year |
Carrying Amount at Start of Year |
Interest Expense
@ EAI |
Interest Payment @ Coupon Rate |
Amortisation of Premium |
Carrying Amount @ End of Year |
2010 |
5,376,881 |
295,728 |
325,000 |
29,272 |
5,347,609 |
2011 |
5,347,609 |
294,119 |
325,000 |
30,881 |
5,316,728 |
Alternatively, take the PV of the cash flows over the remaining 8 years at 5.5% |
5,000,000 x 6.5% x PVA(8y, 5.5%) + 5,000,000 x PV(8y, 5.5%) = 5,316,728 |
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